11. Use the following information for problems a-b. The table shows the results of a school lunch survey. In the
survey, students were asked whether they have chores and a curfew

Hey there!

8!
= 8(7)(6)(5)(4)(3)(2)(1)

= 56(6)(5)(4)(3)(2)(1)

= 336(5)(4)(3)(2)(1)

= 1,680(4)(3)(2)(1)

= 6,720(3)(2)(1)

= 20,160(2)(1)

= 40,320(1)

= 40,320

Therefore, your answer should be:

40,320

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

v = -3w

Step-by-step explanation:

water level/volume = -3 x weeks

v = -3w

By using the given table, we will get the linear equation:

h = n - 9

We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.

Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:

Hakim's collection = Nisha's collection - 9

Using the variables, we get:

h = n - 9

That is the linear equation Hakim wanted.

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Answer:

h=n-9

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

let the number=x

8(x-2)=16(x-5)

divide by 8

x-2=2(x-5)

x-2=2x-10

2x-x=-2+10

x=8

Answer:

5

Step-by-step explanation:

Gradient (slope) of the curve can be found by deriving a curve function.

In this scenario, the given function is a polynomial function which we can use Power Rules to derive it.

Power Rules

[tex]\displaystyle{y=ax^n \to y' = nax^{n-1}}[/tex]

Thus, using the power rules, we will have:

[tex]\displaystyle{y'=3x^2-4x+5}[/tex]

Note that deriving a constant will always result in 0.

Then the problem gives us that we want to find the slope or gradient at where the curve crosses y-axis.

The curve crosses y-axis at x = 0 only. Therefore, we substitute x = 0 in a derived function.

[tex]\displaystyle{y'(0) = 3(0)^2-4(0)+5}\\\\\displaystyle{y'(0) = 5}[/tex]

Therefore, the slope at the point where a curve crosses y-axis will be 5.

Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.

The additional tickets required by Sarah can be determined as follows:

Number of tickets purchased initially = 15

Number of tickets for playing a game = 3

Number of tickets for riding a ride = 6

Sarah can play five (5) games with 15 tickets (15/3).

Sarah can then purchase 12 additional tickets (6 x 2).

The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.

Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.

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How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

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The conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.

A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:

a = rcos(θ)    ....equation 1.

b = rsin(θ)     ....equation 2.

Where:

Note: The exact value of cos(π/3) is equal to ½.

Substituting the given parameters into the formula, we have;

z = 2(½)

z = 2/2

z = 1.

In conclusion, we can logically deduce that the conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.

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Complete Question:

Convert z = 2(cos(π/3)) in rectangular form

Answer:

it depend on your total credit load u register, if it's d only credit load it affect your gpa alot

Answer: B

Step-by-step explanation:

The domain of a function is the set of x-values.

Answer:

4*1/1000+6*100+8*10+5*1

Step-by-step explanation:

The missing angles are listed below:

sin 27.818° = 21 / 45

tan 26.565° = 8 / 16

cos 57.607° = 15 / 28

tan 38.956° = 38 / 47

sin 44.901° = 12 / 17

cos 52.398° = 36 / 59

tan 19.477° = 29 / 82

sin 16.601° = 8 / 28

tan 10.008° = 9 / 51

cos 36.870° = 16 / 20

sin 35.538° = 60 / 84

cos 53.576° = 19 / 32

tan 40.101° = 64 / 76

cos 39.571 = 37 / 48

cos 69.605° = 23 / 66

In this question we must find the measure of the angle associated to the rational numbers seen in the statement. There are two methods to estimate such measures: (i) Drawing an equivalent right triangle and estimate the measure of the angle by definition of trigonometric functions, (ii) Using inverse trigonometric functions and numerical methods since they are trascendent variables.

Herein we decided to use the second method by reasons of rapidness and effectivity:

sin 27.818° = 21 / 45

tan 26.565° = 8 / 16

cos 57.607° = 15 / 28

tan 38.956° = 38 / 47

sin 44.901° = 12 / 17

cos 52.398° = 36 / 59

tan 19.477° = 29 / 82

sin 16.601° = 8 / 28

tan 10.008° = 9 / 51

cos 36.870° = 16 / 20

sin 35.538° = 60 / 84

cos 53.576° = 19 / 32

tan 40.101° = 64 / 76

cos 39.571 = 37 / 48

cos 69.605° = 23 / 66

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No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.

We are unable to produce zero items in one day.

Maximum available output = 2300

The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,

Generally, The greatest level of production that a firm is able to maintain in order to provide its goods or services is referred to as its capacity. Capacity may refer to a manufacturing process, the distribution of human resources, technological thresholds, or any one of a number of other related ideas, depending on the sort of company being discussed.

In conclusion, No, we are unable to produce an endless amount in a given space. because the function is at its highest point when x is equal to 70, and its highest point of output is 2300.

We are unable to produce zero items in one day.

Maximum available output = 2300

The graph of the function is quadratic (parabolic), and the point at which it reaches its highest value, denoted by the vertex x = 70,

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The amount that Karsten's estate should pay his younger daughter each month over 20 years so that the accumulated present value will be equal to $50,000 is $358.22.

The monthly payments out of the present value of $50,000 can be computed using an online finance calculator.

The periodic payment represents the equal amount that can be paid to the daughter monthly so that it equals the PV of $50,000 of the estate share.

N (# of periods) = 240

I/Y (Interest per year) = 6%

PV (Present Value) = $50,000

FV (Future Value) = $0

Results:

Monthly Payment = $358.22

Sum of all periodic payments = $85,971.73 ($358.22 x 2400

Total Interest = $35,971.73

Thus, Karsten's younger daughter can be paid $358.22 to equal the accumulated present value of $50,000.

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Answer:

x ≤ −8

Step-by-step explanation:

Let's solve your inequality step-by-step.

3 - 3x/4 ≥ 9

Step 1: Simplify both sides of the inequality.

-3/4x + 3 ≥ 9

Step 2: Subtract 3 from both sides.

-3/4x + 3 - 3 ≥ 9 − 3

-3/4x ≥ 6

Step 3: Multiply both sides by 4/(-3).

(4/-3) * (-3/4x) ≥ (4/-3) * (6)

x ≤ −8

Answer:

x ≤ −8

Answer:

7×10³+3×10²+4×10¹+2×10 or 7.342×10³

Based on the given parameters, the length of c is 8.0 units

The given parameters are

Angle c = 76 degrees

Side a = 20

Side b = 13

The length of c is then calculated using the following law of sines

c^2 = a^2 + b^2 - 2absin(C)

Substitute the known values in the above equation

So, we have

c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)

Express 20^2 as 400

c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)

Express 13^2 as 169

c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)

Evaluate the product and sin(76)

c^2 = 400 + 169 - 520 * 0.9703

Evaluate the product

c^2 = 400 + 169 - 504.55

Evaluate the exponents

c^2 = 400 + 169 - 504.55

So, we have

c^2 = 64.45

Evaluate the square root

c = 8.0

Hence, the length of c is 8.0 units

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Answer:

45:315

Step-by-step explanation:

Add up the ratio to get the total ratio.

1+7=8

Divide the 360 by the total ratio.

360÷8=45

The number 45 tells you how many times to multiply both sets of the ratio to get a total of 360.

1×45=45

7×45=315

so,

45:315

Hope this helped. Comment below if you need more assistance! :)

Answer:

x+(x+5)=28

Step-by-step explanation:

girls(g)should be equal to x

boys(b) will therefore be x+5

x+(x+5)=28

Answer:

For finding Percentage u have to multiply the number with 100

e.g.,

[tex] \frac{4}{50} \times 100[/tex]

[tex]4 \times 2 = 8\%[/tex]

Hopefully this helps u...

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The distance that he has traveled exists 73km 500m.

Distance exists described as the amount of space between two items or the condition of existing far apart. The distance of an object can be described as the complete path traveled by an object.

Given: A motorist travels from town A to town B, which exists 84km apart. He has finished 7/8 of his journey.

To estimate the distance that he has traveled

He covered 7/8 out of 84 km

So, 7/8 × 84 = 73.5 km

The distance he has traveled = 73 km 500 m

Therefore, the distance that he has traveled exists 73km 500m.

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The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

The concentrations of apple and grape juice in the two different juice types are given as;

Juice A:

(2/3) apple

(1/3) grape

Juice B:

(1/3) apple

(2/3) grape

Let a be how much juice A is in the mixture;

Let b be how much juice B is in the mix.

Thus;

²/₃a + ¹/₃b = 10     ------(eq 1)

¹/₃a + ²/₃b = 8       ------(eq 2)

Solving both equations simultaneously gives us;

a = 12 and b = 6

Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

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Answer:

A child ticket costs $16.50 and an adult ticket costs $25.45.

It is found that the child ticket costs $16.50 and an adult ticket costs $25.45.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  4 children and 2 adults are $116.90. For 6 children and 3 adults, the admission is $175.35.

Assuming a different price for children and adults,

Let the children are x and the adult is y.

Therefore,

4x + 2y = 116.90

6x + 3y = 175.35

Hence, the child ticket costs $16.50 and an adult ticket costs $25.45.

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Answer:

40 liters of 30% solution.

20 liters of 60% solution.

Step-by-step explanation:

Let x = amount of 30% solution.

Let y = amount of 60% solution.

Equation of amounts of solutions.

x + y = 60

Equation of amounts of alcohol in the solutions.

0.3x + 0.6y = 0.4 × 60

x = 60 - y

0.3(60 - y) + 0.6y = 24

18 - 0.3y + 0.6y = 24

0.3y = 6

y = 20

x + y = 60

x + 20 = 60

x = 40

Answer:

40 liters of 30% solution.

20 liters of 60% solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of liters of the 30% solution and the number of liters of the 60% solution to mix to make the 40% solution is 40 liters and 20 liters.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

Let 30% solution = m

Let 60% solution = n

Now,

A scientist needs 60 liters of a 40% solution of alcohol.

He has a 30% solution and a 60% solution available.

This means,

m + n = 60 _____(1)

30% of m + 60% of n = 40% of 60

0.30m + 0.60n = 0.40 x 60

0.30m + 0.60n = 24 ____(2)

From (1) and (2) we get,

m + n = 60

m = 60 - n _____(3)

Putting (3) in (2) we get,

0.30m + 0.60n = 24

0.30(60 - n) + 0.60n = 24

18 - 0.30n + 0.60n = 24

18 + 0.30n = 24

0.30n = 24 - 18

0.30n = 6

n = 6/0.30

n = 20

Putting n = 20 in (3) we get,

m = 60 - 20

m = 40

Now,

The number of liters of the 30% solution is 40.

The number of liters of the 60% solution is 20.

Thus,

The number of liters of the 30% solution and the number of liters of the 60% solution to mix to make the 40% solution is 40 liters and 20 liters.

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Answer:

The percentage of the students that can swim is 75%

The percentage of students that can't swim is 25%

Step-by-step explanation:

100÷40=2.5

2.5×30=75

The percentage of the students that can swim is 75%

100-75=25

The percentage of students that can't swim is 25%

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Answer:

4x³ + 4x² + 5

Step-by-step explanation:

3x³ - 2x + 8 + 2x² + 5x + x³ + 2x² - 3x - 3.

4x³ - 2x + 8 + 2x² + 5x + 2x² - 3x - 3

4x³ + 4x² - 2x + 8 + 5x - 3x - 3

4x³ + 4x² + 8 - 3

4x³ + 4x² + 5

Considering the definition of mass volume percent, the percent composition of lactose in skim milk is 28%.

The concentration of solutions is the amount of solute contained in a given amount of solvent or solution. In other words, the relationship between the amount of solute and the amount of solvent is called concentration.

Mass volume percent (% m/V) is a measure of concentration that indicates the number of grams of solute in each 100 mL of solution.

In other words, mass-volume percent is an intensive property that is defined as the mass of solute (in grams) that there are in 100 mL of solution and it is calculated by applying the following equation:

[tex]Mass volume percent=\frac{mass solute (grams)}{volume solution (mL)}x100[/tex]

This is, mass volume percent is defined as the ratio of the mass of solute that is present in a solution, relative to the volume of the solution, as a whole.

In this case, you know:

Replacing in the definition of mass volume percent:

[tex]Mass volume percent=\frac{0.28 grams}{1 mL}x100[/tex]

Solving:

mass volume percent= 28 %

Finally, the percent composition of lactose in skim milk is 28%.

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